# Boolean algebra

[ boo-lee-uhn ]

/ ˈbu li ən /

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### noun

Logic. a deductive logical system, usually applied to classes, in which, under the operations of intersection and symmetric difference, classes are treated as algebraic quantities.

Mathematics. a ring with a multiplicative identity in which every element is an idempotent.

## QUIZZES

#### QUIZ YOURSELF ON "EVOKE" VS. "INVOKE"!

Call upon your favorite grammar inspirations to tackle this quiz on the differences and uses of "evoke" and "invoke."

Question 1 of 7

“Evoke” and “invoke” both derive from the same Latin root “vocāre.”

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Improve Your Writing## Words nearby Boolean algebra

bookwork, bookworm, bool, Boole, Boolean, Boolean algebra, Boolean operation, Boolean ring, Boolean sum, Boole's inequality, boom

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## How to use Boolean algebra in a sentence

## British Dictionary definitions for Boolean algebra

Boolean algebra

/ (ˈbuːlɪən) /

### noun

a system of symbolic logic devised by George Boole to codify logical operations. It is used in computers

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for Boolean algebra

Boolean algebra

[ bōō′lē-ən ]

A form of symbolic logic, in which variables, which stand for propositions, have only the values true (or 1) and false (or 0). Relationships between these values are expressed by the Boolean operators AND, OR, and NOT. For example, a + b means a OR b, and its value is true as long as either a is true or b is true (or both). Boolean logic can be used to solve logical problems, and provides the mathematical tools fundamental to the design of digital computers. It is named after the mathematician George Boole. Also called Boolean logic See also logic gate.

The American Heritage® Science Dictionary
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